Lower triangular Toeplitz-Ramanujan systems whose solution yields the Bernoulli numbers

Carmine Di Fiore, Francesco Tudisco, Paolo Zellini,
Linear Algebra and its Applications, 496 : 510--526 (2016)

Abstract

We prove that the Bernoulli numbers satisfy some special lower triangular Toeplitz systems of linear equations. One of these systems has a strong link with eleven Ramanujan’s linear equations satisfied by the first eleven Bernoulli numbers.

Please cite this work as:

@article{difiore2016lower,
  title={Lower triangular Toeplitz--Ramanujan systems whose solution yields the Bernoulli numbers},
  author={Di Fiore, Carmine and Tudisco, Francesco and Zellini, Paolo},
  journal={Linear Algebra and its Applications},
  volume={496},
  pages={510--526},
  year={2016},
  publisher={Elsevier}
}

Links: doi

Keywords: Bernoulli numbers Triangular Toeplitz Toeplitz